LIST OF PUBLICATIONS
of Nikolai A. Simonov

BOOKS:

[B94]
K.K.Sabelfeld and N.A.Simonov,
Random walks on boundary for solving PDEs.
VSP, Utrecht, The Netherlands, 1994.

[B89]
O.A.Kurbanmuradov, K.K.Sabelfeld and N.A.Simonov,
Algorithms of random walk along the boundary.
Computing Center, Novosibirsk, 1989. (In Russian).

REVIEWED ARTICLES:

[A09]
M.O.Fenley, M.Mascagni, J.McClain, A.R.J.Silalahi and N.A.Simonov,
Using Correlated Monte Carlo Sampling for Efficiently Solving the Linearized Poisson-Boltzmann Equation Over a Broad Range of Salt Concentration
J. Chem. Theory Comput., 2010, vol.6, No.1, pp.300–314.

[A07d]
N.A.Simonov, M.Mascagni and M.O.Fenley,
Monte Carlo-based linear Poisson-Boltzmann approach makes accurate salt-dependent solvation free energy predictions possible
J. Chem. Phys., 2007, vol.127, 185105 (6 pages).

[A07c]
N.A.Simonov,
Walk-on-Spheres Algorithm for Solving Boundary-Value Problems with Continuity Flux Conditions
In: Monte Carlo and Quasi-Monte Carlo Methods 2006, Springer-Verlag, Heidelberg, 2007, pp.633-644.

[A07b]
N.A.Simonov,
Random Walks for Solving Boundary-Value Problems with Flux Conditions,
In: Lecture Notes in Computer Science, Vol.4310, Springer-Verlag, Heidelberg, 2007, pp.181-188.

[A07a]
N.A.Simonov,
Algorithms of random walk on spheres for solving mixed and Neumann boundary-value problems,
Siberian Journal of Numerical Mathematics, 2007, vol.10, No.2, pp.209-220. (In Russian).

[A06c]
N.A.Simonov,
Monte Carlo methods for solving elliptic equations with boundary conditions containing the normal derivative,
Doklady Academii Nauk, 2006, vol.410, No.2, pp.164-167. (In Russian).
Engl. transl. in Doklady Mathematics, 2006, vol.74, No.2, pp.656-659.

[A06b]
N.A.Simonov and M.Mascagni,
Random Walk Algorithms for Solving Some Boundary-Value Problems in Biomolecular Electrostatics,
Mathematics and Computers in Simulation, 2006. To be published.

[A06a]
A.Karaivanova and N.A.Simonov,
Quasi-Monte Carlo methods for investigating electrostatic properties of organic pollutant molecules in solvent,
In: Lecture Notes in Computer Science, Vol.3743, Springer-Verlag, Heidelberg, 2006, pp.172-180.

[A05b]
N.Simonov and M.Mascagni,
The method of random walk on spheres for solving boundary-value problems from molecular electrostatics,
In: 17th IMACS World Congress, Paris, France, July 11-15, 2005. Proceedings. ISBN 2-915913-02-1. T1-I-62-0945

[A05a]
C.Fleming, M.Mascagni and N.Simonov,
An Efficient Monte Carlo Approach for Solving Linear Problems in Biomolecular Electrostatics,
In: Lecture Notes in Computer Science, Vol.3516, Springer-Verlag, Heidelberg, 2005, pp.760-765.

[A04g]
N.A.Simonov and M.Mascagni,
Random walk algorithms for estimating electrostatic properties of large molecules.
In: The International Conference on Computational Mathematics.
Novosibirsk, Russia, June 21-25, 2004, Proceedings.
G.A.Mikhailov, V.P.Il'in, Y.M.Laevsky, eds.
- ICM&MG Publisher, Novosibirsk, 2004, pp.352-358.

[A04f]
A.Karaivanova, M.Mascagni and N.A.Simonov,
Parallel Quasi-random Walks on the Boundary.
Monte Carlo Methods and Applications,
2004, Vol.10, No.3-4, pp.311-320.

[A04e]
N.A.Simonov and M.Mascagni,
Random walk algorithms for estimating effective properties of digitized porous media.
Monte Carlo Methods and Applications,
2004, Vol.10, No.3-4, pp.599-608.

[A04d]
C.-O.Hwang, M.Mascagni and N.A.Simonov,
Monte Carlo methods for the linearized Poisson-Boltzmann equation.
In: Advances in Numerical Analysis, Nova Science, Hauppauge, NY, 2004.

[A04c]
M.Mascagni and N.A.Simonov,
Monte Carlo methods for calculating some physical properties of large molecules.
SIAM Journal on Scientific Computing,
2004, Vol.26, No.1, pp.339-357.

[A04b]
M.Mascagni and N.A.Simonov,
The random walk on the boundary method for calculating capacitance.
The Journal of Computational Physics,
2004, Vol.195, No.2, pp.465-473.

[A04a]
A.Karaivanova, M.Mascagni and N.A.Simonov,
Solving BVPs using quasirandom walks on the boundary.
In: Lecture Notes in Computer Science, Vol.2907, Springer-Verlag, Heidelberg, 2004, pp.162-169.

[A03]
M.Mascagni and N.A.Simonov,
Monte Carlo method for calculating the electrostatic energy of a molecule.
In: Lecture Notes in Computer Science, Vol.2657, Springer-Verlag, Heidelberg, 2003, pp.63-74.

[A02]
M.Mascagni and N.A.Simonov,
Random walk on the boundary methods for computing reaction rate and capacitance.
In: The International Conference on Computational Mathematics.
Novosibirsk, Russia, June 24-28, 2002, Proceedings.
G.A.Mikhailov, V.P.Il'in, Y.M.Laevsky, eds.
- ICM&MG Publisher, Novosibirsk, 2002, pp.238-242.

[A01b]
N.A.Simonov,
Monte Carlo solution of a parabolic equation with a random coefficient.
Siberian Journal of Numerical Mathematics,
2001, Vol.4, No.4, pp.389-402.

[A01a]
N.A.Simonov,
Nonlinear Monte Carlo estimators for parabolic equation. 
In: Simulation 2001, Proc. 4th St. Petersburg Workshop on Simulation, 
S.M.Ermakov, Y.N.Kashtanov and V.B.Melas, Eds. 
St. Petersburg, 2001, pp.453-456.

[A98e]
W.Dreyer, M.Kunik, K.Sabelfeld, N.Simonov and K.Wilmanski,
Iterative procedure for multidimensional Euler equations.
Monte Carlo Methods and Applications,
1998, Vol.4, No.3, pp.253-271.

[A98d]
N.A.Simonov,
Stochastic iterative method for a system of parabolic equations
ZAMM,
1998, Vol.78, Suppl.1, S185-S188.

[A98c]
N.A.Simonov,
Monte Carlo methods for a diffusion equation with a random absorption
coefficient.
Preprint No.1127. Institute of Computational Mathematics
and Mathematical Geophysics, 1998. (In Russian).

[A98b]
N.A.Simonov,
Decomposition-based Monte Carlo method for the heat equation.
In: Mathematical methods in stochastic simulation and experimental
design. Proc. of the 2nd St. Petersburg Workshop on simulation,
St. Petersburg, June 28 - July 3, 1998. Ed. by S.M.Ermakov and V.B.Melas.
St. Petersburg, Pub. House of St. Petersburg University, 1998, pp.132-136.

[A98a]
N.A.Simonov,
Monte Carlo solution to three-dimensional vorticity equation.
Mathematics and Computers in Simulation,
1998, Vol.47, No.2-5, pp.455-459.

[A97c]
N.A.Simonov,
Stochastic computational methods for parabolic equations with random data.
IMACS World Congress. Berlin, Germany, August 24-29, 1997.
Proceedings. Vol.1.Computational Mathematics, pp.449-452.


[A97b]
N.A.Simonov,
Monte Carlo methods for convective diffusion equation.
Russian Journal of Numerical Analysis and Mathematical Modelling,
1997, Vol.12, No.1, pp.67-81.

[A97a]
N.A.Simonov,
Stochastic iterative methods for solving equations of parabolic type.
Sib. Mat. Journal, 1997, Vol.38, No.5, pp.1146-1162. (In Russian).

[A96b]
N.A.Simonov,
Monte Carlo solution of the first boundary value problem
for parabolic equation.
In: Mathematical methods in stochastic simulation and experimental
design. Proc. of the 2nd St. Petersburg Workshop on simulation,
St. Petersburg, June 18-21, 1996. Ed. by S.M.Ermakov and V.B.Melas.
St. Petersburg, Pub. House of St. Petersburg University, 1996,
pp.109-111.

[A96a]
N.A.Simonov,
Solution by the Monte Carlo method of the first boundary value
problem for parabolic equations.
Transactions of CC SB RAS. Comp. Mathematics. Issue 4.
Computing Center, Novosibirsk, 1996, pp.129-145. (In Russian).

[A95c]
N.A.Simonov,
Stochastic algorithms of solving first boundary value problem
and Cauchy problem for a convective diffusion equation.
Preprint No.1053.
Computing Center, Novosibirsk, 1995. (In Russian).

[A95b]
N.A.Simonov,
Boundary value problem and stochastic algorithm for
two-dimensional Navier-Stokes equations.
Monte Carlo Methods and Applications, 1995, Vol.1, No.1 , pp.59-70.

[A95a]
N.A.Simonov,
Stochastic algorithm for solving two-dimensional boundary layer
equations.
Siberian Journal of Computer Mathematics,
1995, Vol.2, No.1, pp.41-56.

[A93c]
N.A.Simonov,
Solution of two-dimensional Prandtl equations by the Monte Carlo method.
Bulletin of the Novosibirsk Computing Center.
Series: Numerical Analysis. Issue 4.
Computing Center, Novosibirsk, 1993, pp.83-102.

[A93b]
N.A.Simonov,
Monte Carlo solution of the nonlinear integral equation system
in the boundary layer theory.
Russian Journal of Numerical Analysis and Mathematical Modelling,
1993, Vol.8, No.3, pp. 265-274.

[A93a]
N.A.Simonov,
Monte Carlo estimate of the solution of the system
of integral equations given rise by the Prandtl equations.
Transactions of the Computing Center SB RAS.
Computational Mathematics. Issue 1.
Computing Center, Novosibirsk, 1993, pp.107-112. (In Russian).

[A91]
V.S.Vyshemirskij, V.I.Simonova and N.A.Simonov,
Search for oil deposits in Western Siberia by pine needles.
Geology and Geophysics,
1991, No.1, pp.37-44. (In Russian).

[A88]
N.A.Simonov,
Random estimates for derivatives of the solution of Neumann's problem
near the domain boundary.
In: Theory and applications of statistical modelling.
Computing Center, Novosibirsk, 1988, pp.76-87. (In Russian).

[A86b]
N.A.Simonov,
Statistical modelling algorithms for solving elliptic
equations of the second order.
Preprint No.698.
Computing Center, Novosibirsk, 1986. (In Russian).

[A86a]
N.A.Simonov,
Solution of the boundary integral equation for third boundary
value problem by the Monte Carlo method.
In: Methods of statistical modelling.
Computing Center, Novosibirsk, 1986, pp.53-59. (In Russian).

[A85]
N.A.Simonov,
On the randomization of the iterative processes for solving
equations of the first kind.
In: Theory and applications of statistical modelling.
Computing Center, Novosibirsk, 1985, pp.31-37. (In Russian).

[A84c]
K.K.Sabelfeld and N.A.Simonov,
The solution of space problems of elasticity theory in deterministic and stochastic formulations by the Monte Carlo method.
Dokl. Akad. Nauk SSSR, 1984, Vol.275, No.4, pp.802-805. (In Russian).
(Engl. transl. in Soviet Math. Dokl., 1984, Vol.29, No.2, pp.304-307).

[A84b]
N.A.Simonov,
A modification of the random walk over spheres algorithm which is convenient for practical application.
Zh. Vychisl. Mat. i Mat. Fiz., 1984, Vol.24, No.6, pp.936-938. (In Russian).
(Engl. transl. in USSR Comput. Math. Math. Phys., 1984, Vol.24, pp.197-198).

[A84a]
N.A.Simonov,
Random walk on boundary algorithms for solving
some boundary value problems.
Preprint No.472.
Computing Center, Novosibirsk, 1984. (In Russian).

[A83d]
N.A.Simonov,
Elaboration and realization of random walk algorithms for solving
boundary value problems of mathematical physics.
Thesis of the Cand. Dissertation, Novosibirsk, 1983. (In Russian).

[A83c]
N.A.Simonov,
Simulation of paths of random walk on boundary
using the analytical continuation.
In: Mathematical and simulation models of systems. SM-9.
Computing Center, Novosibirsk, 1983, pp.40-44. (In Russian).

[A83b]
N.A.Simonov,
A random walk algorithm for the solution
of boundary value problems with partition into subdomains
In: Methods and algorithms of statistical modelling.
Computing Center, Novosibirsk, 1983, pp.48-58. (In Russian).

[A83a]
K.K.Sabelfeld and N.A.Simonov,
Algorithms of random walk on boundary for solving
boundary value problems.
Numerical methods of continuous matter mechanics.
Novosibirsk, 1983, Vol.14, No.1, pp.116-134. (In Russian).

[A82]
N.A.Simonov,
General-purpose program of Monte Carlo method for solving
Dirichlet problem for the Laplace equation.
Algorithms and programs.
Moscow, 1982, No.6(50), p.28. (In Russian).

[A81]
N.A.Simonov,
Numerical realization of 'walk on spheres' algorithm
for the particular class of three-dimensional domains.
Numerical methods of continuous matter mechanics.
Novosibirsk, 1981, Vol.12, No.6, pp.90-96. (In Russian).

[A80]
N.A.Simonov,
Algorithms for computing the simplified model of reactor cell.
In: Numerical methods and statistical modelling in the transport theory.
Computing Center, Novosibirsk, 1980, pp.141-150. (In Russian).